A unified theory of commutator estimates for a class of interpolation methods
From MaRDI portal
Publication:1849213
DOI10.1006/aima.2001.2061zbMath1022.46017OpenAlexW1976992261MaRDI QIDQ1849213
Michael Cwikel, Richard Rochberg, Nigel J. Kalton, Mario Milman
Publication date: 28 November 2002
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.2001.2061
real interpolationcomplex interpolationderivation operatorcommutator estimateLions-Schechter interpolation spaceplus-minus interpolation methodpseudolattice
Related Items (18)
Stafney’s lemma holds for several “classical” interpolation methods ⋮ Commutators for Fourier multipliers on Besov spaces ⋮ The Kalton-Peck space is the complexification of the real Kalton-Peck space ⋮ BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Isomorphisms on interpolation spaces generated by the method of means ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Stability of the inverses of interpolated operators with application to the Stokes system ⋮ The Rochberg garden ⋮ Interpolator symmetries and new Kalton-Peck spaces ⋮ Stability of Fredholm properties on interpolation Banach spaces ⋮ Singular twisted sums generated by complex interpolation ⋮ Commutator estimates for interpolation scales with holomorphic structure ⋮ A distance between orbits that controls commutator estimates and invertibility of operators. ⋮ A sharp version of commutator theorem for the real method of interpolation ⋮ Differential processes generated by two interpolators ⋮ Notes on limits of Sobolev spaces and the continuity of interpolation scales ⋮ Stein interpolation for the real interpolation method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interpolation of Banach spaces, differential geometry and differential equations
- Derivatives of analytic families of Banach spaces
- Commutator and other second order estimates in real interpolation theory
- Harmonic functions in non-locally convex spaces
- Two new interpolation methods based on the duality map
- Spectral theory and interpolation of operators
- Minimal and maximal methods of interpolation
- Factorization theorems for Hardy spaces in several variables
- A commutator theorem with applications
- Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function
- Endpoint estimates for commutators of singular integral operators
- Higher order commutators in the real method of interpolation
- Commutators and interpolation methods
- On the operator \({\mathcal L}(f)=f\log|f|\)
- Higher order estimates in complex interpolation theory
- Sur le nombre de paramètres dans la définition de certains espaces d'interpolation
- On a class of interpolation spaces
- Sur l'utilisation des suites inconditionnellement sommables dans la théorie des espaces d'interpolation. (Towards the utilization of the unconditionally summable series in the theory of interpolation spaces)
- Sur la transformation de Fourier des fonctions à valeurs vectorielles
- On the connection between weighted norm inequalities, commutators and real interpolation
- Interpolation of analytic families of operators
- Notes on Wolff's Note on Interpolation Spaces
- Twisted Sums of Sequence Spaces and the Three Space Problem
- Differentials of Complex Interpolation Processes for Kothe Function Spaces
- Interpolation of Orlicz spaces
- Distances between Banach spaces
- Weak minima of variational integrals.
- Interpolation of Banach Spaces, Perron Processes, and Yang-Mills
- BMO and Teichmüller space
- Schechter Methods of Interpolation and Commutators
- An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate
- Homéomorphismes Uniformes Entre les Sphères Unité des Espaces D'Interpolation
- Higher Order Commutators in Interpolation Theory.
- Intermediate spaces and interpolation, the complex method
- Generalized Interpolation Spaces
- The Domain Spaces of Quasilogarithmic Operators
- Complex Interpolation for Normed and Quasi-Normed Spaces in Several Dimensions. III. Regularity Results for Harmonic Interpolation
This page was built for publication: A unified theory of commutator estimates for a class of interpolation methods
